Jones spoke with Brown ahead of Wednesday's home friendly against Celtic which marked the official opening of their new 27,000 all-seater stadium.
Brown has confirmed his interest in Wales and Bluebirds skipper Ledley as well as striker Ross McCormack, with the duo believed to be rated at £6million and £4m respectively.
But Jones, who has already lost central defender Roger Johnson to Birmingham for £5m, is adamant any interested parties have to meet the full asking price.
Jones said: "I saw Phil (Brown) before he came in. If he pays the money the club are asking, then there isn't a problem. The chairman (Peter Ridsdale) has said that.
"I can't do anything about that if the price is right. If Joe won't sign a contract, then he will go - but we won't let him go cheaply.
"People keep going on about the fact he has got a year left of his contract. I don't see why that should make him any cheaper. I'm astounded when people do that.
"So I say 'wait a year then.' If we've been offered £6m six months ago, why has his valuation gone down because he has decided to run his contract out?"
Jones added: "I don't see the problem is with us. The problem is with his agent trying to work the oracle a little bit.
"Joe has lost 12 months money as far as I am concerned by not signing an extension because, if the price still comes in, he would still go.
"That is what happened with Roger Johnson. He signed a new contract and when Birmingham met the price and he wanted to go, then he went."
Regarding McCormack, Jones added: "Phil never mentioned Ross to me. He or anyone can have a look at them all - but, if they don't come up with what the chairman and football club expect, then they don't go."
Source: Team_Talk